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VITEEE 2018 Solved Paper
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© examsnet.com
Question : 82
Total: 125
Amplitude of
1
+
√
3
i
√
3
+
1
is :
π
6
π
4
π
3
π
2
Validate
Solution:
Let r (cos θ + i sin θ)
=
1
+
i
√
3
√
3
+
1
=
1
√
3
+
+
1
+
i
√
3
√
3
+
1
⇒ r cos θ =
1
√
3
+
1
; r sin θ =
√
3
√
3
+
1
⇒ tan θ =
√
3
⇒ θ =
π
3
© examsnet.com
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